At the same candidate's direction, he said he paid $130,000 in violation of campaign finance laws to "somebody" to keep them quiet, which was later repaid by the candidate. He didn't identify the candidate or the person who was paid, but those facts match Cohen's payment to Clifford and Trump's repayment.

Cohen also tells the federal court he evaded substantial taxes on his income, with Bloomberg noting that the sentencing guideline calls for 46 to 63 months in prison.

The prosecutor told the judge the purpose of the payments was to ensure that the individuals did not disclose "alleged affairs with the candidate." Besides the $130,000 payment, Cohen admitted to making an illegal contribution of $150,000, which was how much McDougal received from the National Enquirer's publisher to quash her story.

As Bloomberg explicitly adds, "at no time was the candidate's name mentioned."

The prosecutor also said Cohen failed to report $4 million on taxes and lied about debts and banking details on loan applications.

As Bloomberg reports, Cohen was shaking head and appeared to be holding back emotions as judge reviews possible sentence.